Carl had a total of 297 notes. The notes are $2 notes and $5 notes. After he spent 75% of the $2 notes and 60% of the $5 notes on one refrigerator, he was left with 5 times as many $5 notes as $2 notes. How much did the refrigerator cost?
|
$2 |
$5 |
Before |
4x2 = 8 u |
5x5 = 25 u
|
Change |
- 3x2 = - 6 u |
- 3x5 = - 15 u
|
After |
1x2 = 2 u |
2x5 = 10 u |
Comparing $2 and $5 in the end |
1x2 = 2 u
|
5x2 = 10 u |
75% of $2 notes =
75
100 of $2 notes =
34 of $2 notes
60% of $5 notes =
60100 of $5 notes =
35 of $5 notes
The number of $2 notes in the end is repeated. Make the number of $2 notes the same. LCM of 2 and 5 is 10.
The number of $5 notes in the end is repeated. Make the number of $5 notes the same. LCM of 1 and 2 is 2.
Number of notes at first
= 8 u + 25 u
= 33 u
33 u = 297
1 u = 297 ÷ 33 = 9
|
$2 |
$5 |
Number |
6 u |
15 u |
Value |
2 |
5 |
Total value |
12 u |
75 u |
Value of $2 spent
= 6 u x 2
= 12 u
Value of $5 spent
= 15 u x 5
= 75 u
Price of the refrigerator
= 12 u + 75 u
= 87 u
= 87 x 9
= $783
Answer(s): $783